34654260867072 has 1664 divisors, whose sum is σ = 127019559075840. Its totient is φ = 8132068638720.

The previous prime is 34654260867029. The next prime is 34654260867101. The reversal of 34654260867072 is 27076806245643.

It is a junction number, because it is equal to n+sod(n) for n = 34654260866997 and 34654260867015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35253571093 + ... + 35253572075.

Almost surely, 2^{34654260867072} is an apocalyptic number.

34654260867072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34654260867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63509779537920).

34654260867072 is an abundant number, since it is smaller than the sum of its proper divisors (92365298208768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34654260867072 is a wasteful number, since it uses less digits than its factorization.

34654260867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 60.

The spelling of 34654260867072 in words is "thirty-four trillion, six hundred fifty-four billion, two hundred sixty million, eight hundred sixty-seven thousand, seventy-two".